Derivate
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Tabelul Derivatelor
( u)
/
( u)
/
n
u/
=
2 u u/
=
n n u n −1
/
u/ 1 = − u2 u
(a ) (e )
u /
= u / a u ln a
u /
= u / eu
( log a u ) / ( ln u ) /
=
u/ u ln a
u/ u = u / cos u
=
( sin u ) / ( cos u ) /
= −u / sin u
u/ ( tgu ) = 2 cos u / ( ctgu ) / = − u 2 sin u / ( arcsin u ) / = u 2 1− u u/ / ( arccos u ) = − 1− u2 / ( arctgu ) / = u 2 1+ u / ( arcctgu ) / = − u 2 1+ u /
Operatii cu functii derivabile:
(f+g)’=f’+g’ (af)’=af’ (fg)’=f’g+fg’ (f/g)’=f’g-fg’/g 2
( u)
/
( u)
/
n
u/
=
2 u u/
=
n n u n −1
/
u/ 1 = − u2 u
(a ) (e )
u /
= u / a u ln a
u /
= u / eu
( log a u ) / ( ln u ) /
=
u/ u ln a
u/ u = u / cos u
=
( sin u ) / ( cos u ) /
= −u / sin u
u/ ( tgu ) = 2 cos u / ( ctgu ) / = − u 2 sin u / ( arcsin u ) / = u 2 1− u u/ / ( arccos u ) = − 1− u2 / ( arctgu ) / = u 2 1+ u / ( arcctgu ) / = − u 2 1+ u /
Operatii cu functii derivabile:
(f+g)’=f’+g’ (af)’=af’ (fg)’=f’g+fg’ (f/g)’=f’g-fg’/g 2
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